Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 65
lar to each other. 33. Line making a given angle with a given line. —In plane geometry it is usual to speak of two lines through any given point and making a given angle with a given line. But if we con-sider the direction ofthe angle, there can beonly one such line. Forif MN is the given line,Pj… … Ch. IV, § 34] THE STRAIGHT LINE 49 Let ES be this line. Let the inclination of MN be yvand of BS be 7. Then from [11, a], tan d> = —L. * 1 + «, Solving for 7, we have , _ /1 4- tan (f)1 — Zj tan (/> The equation of BS will therefore be If MS is parallel to J£ZV, tan <f> = 0, and the…
Geometry, Analytic
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